<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>Depth -- computations involving regular sequences</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_depth_lp__Ideal_cm__Ring_rp.html">next</a> | previous | <a href="_depth_lp__Ideal_cm__Ring_rp.html">forward</a> | backward | up | top | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>Depth -- computations involving regular sequences</h1> <div class="single"><h2>Description</h2> <div><em>Depth</em> is a package which will hopefully help users make computations involving regular sequences and depth. In particular, we add the functions <a href="_depth_lp__Ideal_cm__Ring_rp.html" title="computes the depth of a ring">depth(Ideal,Ring)</a> and <a href="_regular__Sequence.html" title="generates a regular sequence">regularSequence(Ideal,Ring)</a>.</div> </div> <div class="single"><h2>Author</h2> <ul><li><div class="single"><a href="http://www.math.ohio-state.edu/~snapp/">Bart Snapp</a><span> <<a href="mailto:snapp@math.ohio-state.edu">snapp@math.ohio-state.edu</a>></span></div> </li> </ul> </div> <div class="single"><h2>Version</h2> This documentation describes version <b>0.5.1</b> of Depth.</div> <div class="single"><h2>Source code</h2> The source code from which this documentation is derived is in the file <a href="../../../../Macaulay2/Depth.m2">Depth.m2</a>.</div> <div class="single"><h2>Exports</h2> <ul><li><div class="single">Functions<ul><li><span><a href="_is__C__M.html" title="whether a ring or module is Cohen-Macaulay">isCM</a> -- whether a ring or module is Cohen-Macaulay</span></li> <li><span><a href="_is__Regular__Sequence.html" title="whether a list is regular over a ring or module">isRegularSequence</a> -- whether a list is regular over a ring or module</span></li> <li><span><a href="_regular__Sequence.html" title="generates a regular sequence">regularSequence</a> -- generates a regular sequence</span></li> <li><span><a href="_regular__Sequence__Check.html" title="how much of a list is regular">regularSequenceCheck</a> -- how much of a list is regular</span></li> </ul> </div> </li> <li><div class="single">Symbols<ul><li><span>Attempts, see <span><a href="_regular__Sequence.html" title="generates a regular sequence">regularSequence</a> -- generates a regular sequence</span></span></li> <li><span>Bound, see <span><a href="_regular__Sequence.html" title="generates a regular sequence">regularSequence</a> -- generates a regular sequence</span></span></li> <li><span>Maximal, see <span><a href="_regular__Sequence.html" title="generates a regular sequence">regularSequence</a> -- generates a regular sequence</span></span></li> <li><span>Sparseness, see <span><a href="_regular__Sequence.html" title="generates a regular sequence">regularSequence</a> -- generates a regular sequence</span></span></li> </ul> </div> </li> </ul> </div> </div> </body> </html>